22753800 has 72 divisors (see below), whose sum is σ = 76420890. Its totient is φ = 6067200.

The previous prime is 22753789. The next prime is 22753807. The reversal of 22753800 is 835722.

It can be written as a sum of positive squares in 3 ways, for example, as 8328996 + 14424804 = 2886^2 + 3798^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (22753807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4521 + ... + 8120.

Almost surely, 2^22753800 is an apocalyptic number.

22753800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22753800 is an abundant number, since it is smaller than the sum of its proper divisors (53667090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22753800 is a wasteful number, since it uses less digits than its factorization.

22753800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12663 (or 12651 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 22753800 is about 4770.0943386897. The cubic root of 22753800 is about 283.3683309326.

The spelling of 22753800 in words is "twenty-two million, seven hundred fifty-three thousand, eight hundred".